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Maximizing Volume: Building Open-Top Boxes from Paper

Students build boxes from paper, cutting squares from corners to create open-top boxes. Calculating volume using length, width, and height. Explore algebra concepts.

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Maximizing Volume: Building Open-Top Boxes from Paper

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  1. Building Boxes What is the largest volume open top box that you can build from an 8 ½ by 11 inch sheet of paper?

  2. Boxes We Will Build Each group of students will build a box—only one per group. The box you build will be determined by the length of the side of the square that you will cut from each corner.

  3. Building the Box • Cut a square from each corner of the paper • Fold the paper along the sides of the square • Tape the corners • V=length*width* height • Use a ruler to measure length, width, and height • Determine the volume of the box

  4. Design of the Boxes

  5. Our Boxes

  6. Algebra and the Box

  7. Another Box

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